106307712 has 96 divisors (see below), whose sum is σ = 349639680. Its totient is φ = 30371328.

The previous prime is 106307687. The next prime is 106307713. The reversal of 106307712 is 217703601.

106307712 is a `hidden beast` number, since 10 + 630 + 7 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106307712² = 22602659261349888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106307713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1473 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (3642080).

Almost surely, 2^106307712 is an apocalyptic number.

106307712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174819840).

106307712 is an abundant number, since it is smaller than the sum of its proper divisors (243331968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106307712 is a wasteful number, since it uses less digits than its factorization.

106307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 106307712 is about 10310.5631272012. The cubic root of 106307712 is about 473.7198579644.

The spelling of 106307712 in words is "one hundred six million, three hundred seven thousand, seven hundred twelve".